{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "def gradient_descent(x,y):\n",
    "    m_curr = b_curr = 0\n",
    "    rate = 0.01\n",
    "    n = len(x)\n",
    "    plt.scatter(x,y,color='red',marker='+',linewidth='5')\n",
    "    for i in range(10000):\n",
    "        y_predicted = m_curr * x + b_curr\n",
    "#         print (m_curr,b_curr, i)\n",
    "        plt.plot(x,y_predicted,color='green')\n",
    "        md = -(2/n)*sum(x*(y-y_predicted))\n",
    "        yd = -(2/n)*sum(y-y_predicted)\n",
    "        m_curr = m_curr - rate * md\n",
    "        b_curr = b_curr - rate * yd\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x = np.array([1,2,3,4,5])\n",
    "y = np.array([5,7,9,11,13])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GFvyY+SPj94znaMpRNFQ06vctd1tBL6NejWOV15az/fJ2NkRuILUwlY66Hfn3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\neS6Hkg4RnhTOjxk/IhflWBh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QwqWjC6O6jWK85finWkKTdluUtIgXJcSVUEJJUEImyjA3\nMOdO+R2qZFUMMR+CkaYR36Z+S6WskjHdx7DcdTlZxVmsi1xHYn4iHXU7stRlKd6O3hhoGBCdHc36\nyPXsu7oPuULOxF4TWeay7L7GnvyKfEIuhbA5ZjOZJZl00uvEO47vMN9h/mO7EHPLc9l+eTvBscGk\nF6VjqGHYuDZu3c662Z/Dg1rwexn1wsvGi1k2s1r0QIqmuFN+h0PJhwhPDOdsxlnkopyuBl0b9xJ/\nkQ50bkmlNaX8cOOHxrvw9KJ0AMz0zRjVbRSjuo9iWNdhLVYjL+22KGm2FyXEoX4/cgC5KMdM34yb\nJTfJKslidLfRCILAibQTCILAzD4zmW8/n3NZ5/A65MWdijvYGtsSNjmMab2noSQoNe52+MvNX9BV\n02Wx82KWuCzBwtDinjGjsqPwj/Zn35V91MhrGNZ1WOOhyI/aIEshKjidfprA2EC+vvY1MoWMwWaD\n+Xzo50yxmnJfs1FTNexVEhoXyp4rexpb8L0dvfG08Xzmp+hkl2ZzMOkgB5IOcC7zHCIiPdr04MMB\nH+Jh7YGdid1LF+JyhZzY27GcTD/JqfRTXLh1AZlChraqNsO6DmO563JGdhtJjzY9nut7lwJd0uhF\nCnIVJRXkCjkAnfQ6kVmSye3y24ztOZbCqkK+TfsWHTUdlrksY6LlRPZe3cvoXaOpklUxpvsYVrqt\nZFjXYRRXF7M+Yj0bozZys/QmFoYW+I7yZY79nHtKAatl1ey7sg//aH+ic6Lrl2cc5rPIedFj76iz\nS7PZdnkbwbHBZJZkYqRlxHKX5cx3mI+lkWWzP4OGFvzQuFCu5l9FTVmN8T3H42Xrxejuo59pC35m\ncSYHkuoPhPjl5i8A9G7Xm78P/jvuVu70ad/npQvxW6W3OJV+ilPppzh9/TSFVYUAOJo68n7/9xnV\nbRRund2e21YIDyItubziXqQQB1BVUqVOUYeakhrGOsbcLL2JgYYBQ82Hkl6YTnxePMbaxix1WYq9\niT2BsYEcST7S2Ai0wnUFvdv3JrkgmQ2RG9gRt4PKukqGmg9luetyxvYYe8/DuIziDDbHbCbkUggF\nlQX0MurFYufFeNp6PrL2W66QcyLtBIGxgRxNOYpCVDC863C8Hb2ZaDmx2aV35bXlHEo6RGh8KGeu\nn3muLfjphemNe4lH50QDYGdiV38ghJV748lLL4vKukrOZZ5rXAtv2Hq3g24HRnYbyUiLkYywGNEi\nu1c+KWkNXfJQL1qIw28POrVUtNBT1yO3IhdTHVNcO7lyKfcSGcUZ9Gzbk/fc3kNHVYcNURuIyo6i\njWYbFjktwqefD8baxpy+fhrfCF+Opx1HTVmNWX1nscxlGbYmto1jKUQF313/Dv9of46mHAVgouVE\nFvdb3Nje/zBZJVlsvbSVkEsh3Cq9hbG2MXPs5jDfYX6zD0toaMEPjQ/lQOKBxhZ8LxsvZtvMfqYt\n+MkFyRxIPEB4UjiXcy8D4NzBufFUnz92xf6ZiaJI/J34xnXwn7J+olZei4aKBq+ZvcZIi5GM6j6K\n3u16P/d/fUiBLrnPixjk6srq1Mhr0FPTQ1VZlbtVd+lm2I3e7Xpz/uZ57lbdxa2TG0v6LSG3PLfx\noIjubbqzwnUFb9m+hSAI7IzfyfrI9STmJ2KsbYyPsw8LnRbec7pPSXVJ4wZZKXdTaKfVDm9HbxY6\nLqSzfueHzrFOXsex1GMExQZxPPU4AKO6j2KBwwLG9xzf7BrqxPxEwuLC7mnBn2Y9DS9bLwZ0GfBM\nKkJEUeRq/tXGvcSv5l8FoH/n/rhbuTPFagrmBuatPo9n5U75HU5fP924lHKn4g5Qf57oqG6jGNlt\nJIO6DHrhOlSlh6Kvsk8/bfxS4LOGL14oDXfk2qraqCmrUVpbio2xDf069OOHjB9IL0pnguUE5tjO\nISI7gnePvUtJTQkDuwxk3ah1jO85ntvlt/nXT/9iy8UtFFYVYm9iT+ikUKb1nnbPkkfCnYTGDbIq\n6ipw7eTKzsk78bD2eOTSyI2iG4RcCmHrpa3cLr9NB90O/H975x0X1Z3u//dh6L1KE5CiCAhI1Vhi\nC2BvEGPFmIhJ1I0mW+7u3ru7yf1tvbnZZPcumwRMwxgTg3FjqhqNSdYkhqKgAoqNjvTeppzfH+OM\nIEWUOnjerxevDM4ZzsMJ85nnPN/n833+c/Z/8njo4/cscpXNlew/v5+UrBQyyjKQCTIW+izkxegX\nWTZp2bAIiWafc81e4peqLyEgMNtjNn9f+HdW+60eMwMh2hXtnCo6pS2jaO467E3tifKKIsY7hijv\nKFwsXEY40sFBEvSxxnPPITz/PPwXoCkVjyIx1wi5lbEVTR1N1LTVMN11Osb6xnxd8DW5lblsCtrE\n0klLOZR3iIdTH0Ylqoj1i+WnD/yUaeOncbr4NBsPbSQ1JxWVqGLl5JXsnrabWe6ztLfGcqWcQ3mH\nSExL5JuCbzDWN2bdlHXsiNjR47AJDR3KDg5fPExyZjLHrhxDEAQWT1xMQmgCiycu7tcYuNvpzYL/\nUsxLrJuyblgGMWh2blBxijIAACAASURBVNRk4tfqriETZMydMJdnpj/DyskrR2QrgMFGFEXyqvLU\nGfjVo5y8fpIWeQsGegbMdJ/JH+f/kWjvaEKcQ8ZkT7xUchlDCM8L6lEjMKpEHNTTgRSiAidzJ6pa\nqlCqlMz2mE2rvJW00jQsjSx5IuwJgh2DeSvrLb68+iVmBmZsDd3Krmm7GG85Xrvb4Q/FP2BpZMnW\nkK3sjNyJp42n9jxljWUkZSTxWsZrlDWV4WntyfaI7WyZuqXP4Qf51fnsydzDW1lvUdFcgZulG1tD\nt/JYyGP92q/8djSbbaVkpXAg5wB1bXW4WLiwIXDDsFnwVaKK74u+JzUnlQ/zPqSwvhB9PX31QAi/\nOFZMXoG9qf2QxzHU1LTWcPzqcW1LYVFDEQCT7CZp6+BzPObo9Ja7Ug39PmE01sU7I0OGEiXO5s6U\nN5VjIDNgltssShtLyavOw8XChZ9E/gQLQwteSX+FC5UXcLFw4elItRFIRCQ5I5l/pP2D4oZifGx9\n2DVtF5uDN2vfoKIo8u/Cf5OYlsjB3IMoVAoW+ixkZ8ROFvos7NVi3q5o51DeIZIzkzlx7QQyQcYy\n32UkhCYQ4x1zT9b0q7VX2Zu1l73Ze7UW/NV+q4kPime+5/wht7srVUq+LfyWgznqFsOypjIMZYbE\neMcQ5x/HsknL7rjz42inJ2u9iIiVkRUPeT2k7kjxjh5TtX9J0Mc4o13IhZu3CI7mjpQ3lWNpZEmE\nSwR5VXmUNJbg7+DPU+FPUd1SzasZr1LeVE6QYxA/e+BnPDLlEa7UXNG2HbYqWlnguYDd03ezeOJi\n7a1yc0cz+87tIzEtkewb2VgbW7Nl6haeCn+qz86QvKo8kjOSeTvrbapbq5lgPYGtIVvZErLlnmqp\nI23BlyvlnLx+koO5BzmUd4iK5gqM9Y1ZPHExsX6xLJ20dMDb7440d7LWR3tHE+EacU8lMV1AWhQd\ng+iCiIuIyAQZtia2VLZUolQpmT9hPpllmRy/dpwHPR7kt3N+y9mys/zi2C9oVbSy0GehdiLQsavH\nWL5/OUeuHMFIZsTGoI3smrarS4kivzqff6b9kzfPvkl9ez3BjsEkLU1ifeD6XocgtMpbOZh7kKSM\nJL4t/BZ9PX1WTl7JttBtLPBacNf1VLlSzpErR0jJSuHwxcNaC/6fFvyJDYEb+uyaGQw6lB0cv3pc\nPdXn4r+oaa3BzMDs1kCIiYsGtGvjSNOXtX5twFqivaNZ4LXgvhg/dzdIGfooZ7SLOKj3WVGhwlDP\nEDNDM2rbanG3csfDyoPTxaeRq+SsmryKaO9ojlw5wr/y/oWBzIANgRt49oFn8bT2ZG/2Xv52+m/k\nVeXhbO7M9ojtPBH2hNbEoVQp+Sz/MxLTEjly5Qj6evrE+cexM2InM9xm9NonfL7iPMkZyaRkp1DX\nVoePrQ8JoQlsDt5814uRnS347557l8qWSuxN7Vk3ZR3xwfGEOYcNab9ym6JNPRAiRz0Qor69Hksj\nS5b7LifWL5YY75hR127XX/qy1s/znKfNwkfaWj9SSCUXHUcXhFwmyFCKSkz0TdDX06exo5FJdpOw\nMbbhdMlpjGRGbA7eTMC4AN499y6nS05jY2zD9ojt7IzciVwpJzEtkaSMJGrbaglzDuOZ6c/wcMDD\nWjt1dUs1r595nVfSX+F63XVcLFx4IuwJEkITcLZw7jGu5o5mDlw4QHJmMt8Xf4+hzJDVfqvZFrqN\nORPm3HU2XtxQzL7sfaRkp5BTmTOsFvwWeQuf539Oaq56IERTRxM2xjasmLyCOL84HvJ6SGcHQvRl\nrY/2jh6V1vqRQiq56CC6IOLQVcgVooJWRStBjkGIosi5inNYG1vz8xk/x9LIkjfOvEFSZhLeNt78\nY9E/eHTqo2TfyGbXF7s4mHMQEZHVfqvZPW13l0w7vTSdxLRE3jv/Hm2KNuZ4zOGFqBdY4buiVyPP\n2fKzJGUkse/cPhraG5hsP5kXo18kPjj+rrs5erLgz3CbwatLXmVNwJohXVhsbG/k0/xPSc1J5fPL\nn9Mib9HeCcT5xzFvwjydHAjRm7Xe2dyZ5b7LR9RaP1aQBH2E0RURh1uth2YGZrQoWmiSNxHmHEZN\naw3ZN7Jxt3Ln+bnPU99WT3JmMnVtdcxwm8GL0S+yyGcRh/IOMT9lPj+W/IiVkRXPTH+GnZE78bD2\nANRdJwcuHCAxLZHTJacxMzBjy9QtbI/YzpRxU3qMqbG9kffOv0dyZjJppWkYyYxYE7CGhNCELn3p\n/UGpUvLV9a/Ym71Xa8H3tPbkNw/+hk3Bm4bU9l7XVsfHFz8mNTeVI5eP0K5sx8nciUeDH1UPhPCY\nrXMLfney1j829bFRY60fK0gllxFCl4Rck5FbG1lT316PTJAR6hzK9frrVDRXEOQYxNqAteRU5fD+\n+fdRikpW+63mpw/8lIm2E0nKSCIxLZGSxhIm2U3i6cin2Tx1s3bRrrC+kFfTX2VP5h4qWyrxtfNl\nR8QO4oPjuw1iBrVQZJRlkJSRxP7z+2nqaGLKuCkkhCawMWjjXW9glVOZQ0pWCu9kv0NJYwmWRpY8\nEvCI2oLvNnPIxKa6pZrDFw+TmpvKsSvHkKvkjLccf2sgxPgHdG6qj65a60c7UsllFKJLIg63Fjst\njSypbaulQ9lBuEs4uVW5/Fj6I/MnzGd+5HxOXj/Jr0/8GjMDM54Mf5Ld03fTKm/l76f/Tkp2Cm2K\nNqK8okhalsRCn4XoCXqIoqjdIOvwxcMALJu0jJ2RO1nguaBHEa1vq+fdc++SlJnE2fKzmOibsHbK\nWhJCE+44Oeh2KporeO/8e90s+H+N+euQWvArmiv4V96/SM1J5cS1EyhFJROsJ7Br2i5i/WOJdI3U\nKQfj/WatH+1IGfoQo2siDreE3NrImrr2OmxNbPG09iT7RjZKUUmsXyz+Dv4czD3I+YrzOJs78/S0\np0kITeB0yWle/uFljl09hrG+MZuCNvH0tKe1JZOG9gbePvs2/0z/J3lVedib2pMQmsATYU9oSy+d\nEUWR0yWnScpI4v0L79Mib2Gq01S2hW5jfeD6HjP43mhTtPHxxY9JyU7hi8tfoFApCHUOZVPQpiG1\n4Jc2lnIo9xCpual8U/ANKlGFj60PD/s/TKxfLKHOoTpTchBFkYvVF7UCrrHW6+vpM9NtpjYLH6vW\n+pFiWDJ0QRCsgT3AFNSm88dEUfx+ID9zrKCLQq7B3MichvYGTAxMcLNy41zFOVrlrcQHx2NtbM2+\nc/v4IOcDAscF8taKt1jmu4z3zr/HjDdmcKn6Ei4WLvxh/h/YFrZNuxh5oeICiWmJpGSl0CxvJtI1\nkpSVKTwc8HCPk3xqW2t5J/sdkjKTOF9xHjMDMzYEbmBb2La7ag/sbMF//8L71LfX42LhwrPTn2VT\n8KZea/MDpbC+kA9zPyQ1J5Xvir5DRMTfwZ//nP2fxPnHETguUGdEvC9rvaYOruvW+rHCQEsufwO+\nEEUxThAEQ+DeJ96OAXRZxPXQw8TAhGZ5MzbGNjiaOZJfk0+HsoOnI5+mqaOJ/ef30yJvIcY7hpSV\nKUyym0RiWiK7j+ymrq2OCJcI9q3eR5x/HIYyQ+RKOak5qSSmJXLy+kmMZEasnbKWHRE7iHCN6BaD\nxsKfnJnMBzkf0KZoI9wlnKSlSaydsvauBONKzRX2Zqst+Fdrrw6LBf9q7VXtXuI/lvwIQJBjEM/P\nfZ5Y/9gBzRIdTu5krf+vB/9rzFnrxwr3XHIRBMESyAK8xH7+kLFYctFlEQf1hCCZnow2RRuTbCfR\nLG+mpLEET2tPVk1exeXay3x88WP09fTZELSBZ6Y9Q2NHIy+ffplDuYcAiPWPZfe03do6dnlTOckZ\nybyW8RoljSV4WHnwVPhTPB76eI/tg9Ut1aRkpZCUmUReVR6WRpZsCNxAQmgCIc4h/f5daltr+SDn\nA1KyUjhVdAoBgfme84kPVlvwh8I5ean6Eqk5qRzMPUhmWSag7qOO848j1i92WIdTDIS+rPWanvCx\nbK0f7Qy5sUgQhKlAEpADBAMZwC5RFJt7e81YEnRdF3IjmREqUYVcJcfP3o8bzTeoaa0h1CmUORPm\n8H3R9/xQ8gM2xjY8Gf4k28K2carwFC+ffpn00nSsja3ZFrqNHZE7cLdy15Y2EtMSSc1JRa6SE+0d\nzc6InSyeuLhbRiyKIievnyQ5M5mDuQfpUHYwffx0toVuY03Aml4t/LfTkwXfz96P+OD4IbHgi6JI\nTmWOVsTPVZwDYPr46cT5xbHab3WX3R9HK3eaWi9Z60cXwyHo4cAPwExRFE8LgvA3oEEUxd/cdtw2\nYBuAu7t7WEFBwT2dbzSg6yIOYKJvQruyHQEBXztfrtdfp0XewkOeDzHZfjKf5n/KtbpreNl48cz0\nZ1g2aRnvZL9DYloiZU1l+Nr5smvaLuKD4zEzNKNF3sK7594lMS2Rs+VnsTKy4tGpj7I9YjuT7CZ1\nO39FcwVvnX2LPZl7yK/Jx9rYmk1Bm0gITej3lrKiKJJZlklKVgr7z+/XWvDXT1nPpuBNg27BF0WR\nrBtZ2nJKXlUeAgKz3GcR568W8XvZYnc4uZO1XrPN7P1qrR/tDIegOwE/iKI44eb3s4FfiqK4pLfX\n6GqGrstCrtkwy1TflBZFC8YyYzxtPLlUfQlQz9K0NrbmUN4hattqeWD8A/z0gZ/iY+vDP378B++c\ne4c2RRsx3jHsmraLGJ8Y9AQ9Ltdc5pW0V3jj7BvUtdUROC6QHRE72BC0oVtpQyWqOH71uHags1wl\nZ7b7bBJCE4jzj+t3i2BPFvzlvsuJD1Jb8AfTPanpddcMhLhSewU9QY+5E+YS6xfLqsmret16YLTQ\nm7U+1DlUm4XPcJshWet1gCHvchFFsVwQhCJBEHxFUbwILEBdfhkT6LKIw63WQ1MDU5rlzcj0ZEy0\nnUh+TT6F9YWsm7KOVkUrhy8eRikqWTV5Fc9Mf4batlpe/uFljl87jom+CZuDN/P0tKfxd/BHJar4\nPP9zEtMS+fzy5+jr6RPrF8uOiB09ujLLGst48+yb7Mncw7W6a9iZ2PGTyJ+wNXRrvyfGN3U08WHu\nh6RkpXDi2glERGa6zRwSC75KVHG6+LS2nFJQX4C+nj4LPBfwHzP/g5WTV45qW3pf1vplk5YR4x0j\nWeuHiZrWGtJL00krSSOtNI0HPR7k2QeeHfLzDnSF4yfAvpsdLleBLQMPaeTQdRGHWxm5sb4xLYoW\njGRG2JnYUdhQiEm7WqAL6wt559w7mBqYqje6Ckvgm4Jv2PLRFvJr8nG1cOVPC/5EQmgCdqZ21LTW\n8L/f/S+vpL/C1dqrOJs789yc50gIS+hmGFGqlBy9cpSkzCQ+vvgxSlHJvAnz+MP8P7DKb1WPLYq3\no7Hgp2SlcDD3IC3yFjytPfntnN+yMWjjoFrwlSolp4pOqaf65H5ISWMJhjJDor2jeW7ucyz3XX7X\nztPhojdrvZHMSGutj/aOZsq4KVIZZQhp6mgisyxTK95ppWlcrb2qfd7XzpeZbjOHJRbJWMQYE3KZ\nMW3KNpzNnVGqlFS0VOBj68NMt5mkl6ZzofICTuZOPB35NIsmLuKd7HfYk7mH+vZ6prlO45npz7Da\nbzUGMgMyyzJJ/DGRd8+/S5uijdnus9kZuZNVk1d1K28UNxTzxpk3eP3M6xTWF+Jg6sCWqVvYGrq1\n350eFyouqC34596htLEUKyMr1gSsGXQLvkKl4OvrX5Oak8qhvEPcaL6Bsb4xC30WEucXx9JJS+/K\nsDSc9GWt19TBJWv90NGuaCf7RrZWuNNK0sitykUlqgBwt3InwiVC/eUaQZhz2KD8LUnb596BsSDi\nGgQEDPQM6FB14G7pTl1bHQ0dDYQ6hzLZbjInrp2gvLmcKeOm8Oz0Z/Gw9uCfaf/kUN4hBAQeDniY\nXdN2MX38dNoV7dre8e+Lv8fUwJSNgRvZEbmDIMegLudVqBR8lv8ZyZnJfJb/GSpRRZRXFNvCtrHc\nd3m/arMVzRXsP7eflOwUMssykQkyFk1cRHxQPMt8l/Uro+8PHcoOTlw7oR4IkfcvqlurMTUwZcnE\nJcT5x7F44uJRORDiTtb6aO9ooryicLV0HeFIxx5KlZLcqtwumXdWeRZylRwAB1MHIlwjtAIe7hI+\nZG5jSdB7YCyJOKjr5IIgqPcDsZpAWVMZ7cp25k2Yh42xDZ9f/pxWRStRXlE8Pe1palpq+NuPfyOz\nLBMbYxueCHuC7RHbcbNyo6i+iNcyXiM5M5mK5gom2k5kR8QONk/d3K11raCugNfPvM7rZ16ntLEU\nJ3MnHpv6GI+HPo6Xjdcd425TtHH44mH2Zu/l8/zPUYpKQp1DiQ+KZ13gOsaZjRuU69OmaOPYlWOk\n5qoHQtS11WFhaMEy32XE+cUR4xODqcHo8sLdyVqv6QmXrPWDiyiKXKm90qXunVmWSbNc3YVtaWRJ\nmHOYNvOOcInA3cp92EpZ0uZcnRhrQi4TZGg+iN2s3CisK6SksYQo7yjkSjnHrx1HJshYH7iezVM3\n8++Cf5PwcQLlTeX42fvx6pJX2RS8CRN9E766/hW7j+zmo7yPUIkqlk5ays7InTzk9VAXwZAr5Xx8\n6WOSM5M5cvkIAAt9FpK4OJElE5fcscNEFEVOFZ0iJSuFAxcOUN9ej6uFKz+b8TM2BW0iYFzAoFyb\nFnkLX1z+goO5B/n44sc0djRibWzNCt8VxPmrB0IMVtY/WPRmrZ9oO1FbB587Ya5krR9EShpKtCWT\ntNI00kvTqW2rBcBY35gQpxAeC3lMK+CT7CbpxAfomM3Qx5qIA+jr6aNQKTDQM8DJ3ImihiIsDC2Y\n5zmP4vpiMsszsTa25smwJ1ngtYD95/az79w+2pXtLPJZxO7pu4nyiqKpo4mUrBQS0xLJrcrFzsSO\nx0Me58nwJ7uZYq7UXGFP5h7ePPsmN5pv4GrhyuMhj/NYyGM9bqZ1Oz1Z8GP9YokPjmfehHmDYsFv\n6mji00ufcjD3IJ/mf0qLvAU7EztWTV5FrH8s8z3nj6rWvM7W+qNXjpJWmoZKVGFlZMUCrwVEe6mn\n1uuCQUkXqG6pVmfenereZU1lgDo5CnQM7FL3DnAIGHUDRO7LkstYFHEAQz1DOlQdmOqbYmFkwY3m\nGziZOzHNdRpZN7K4XncdT2tPdk3bhZO5E69lvMZX17/C1MBU23Y42X4yuZW5JKYl8nbW2zR1NBHu\nEs7OiJ2sCVjTZRGtQ9nBv/L+RVJGEsevHUdP0GPJxCVsC9vGQp+Fd7R/17bWcuDCAVKyU/iu6DsE\nBBZ4LSA+KJ5VfqsGpVZd31bPJ5c+ITU3lS8uf0Gbog1HM0dW+60m1i+WORPmjCqb+tXaq9pulM7W\n+kjXSG1PeKRr5KiKWRfpT8dJ57r3VKepOrGAfF8J+lgXcktDS2R6MmrbavGx9cHX1pdTRaeoa69j\n+vjpbA/fTnVrNf/48R9cqb3CeMvx7IzYSUJYApZGlhy+eJjEtEROXDuBocyQRwIeYWfkTiJdI7uc\n71L1JZIzknk7620qWyrxsPLg8ZDH2RKy5Y5OSLlSzheXvyAlW23B71B24Gfvx+bgzWwI2jAoTsqa\n1hr1QIicVI5dPUaHsgNXC1di/WKJ9Y9lptvMUTMQojdrvbuV+y1rveeCIR1lN9YZqY6TkWBsCfpz\nz3X7J0F4fuABjVI0Qm5rbEu7sp1meTMhTiHYmNjwbcG3KFQKVk5eyfrA9XxX9B2vn3mdhvYGZrjN\nYNe0XayavIratlqSM5J5NeNVihuKcbdy58mwJ9kaurWLsaRN0caHuR+SlJHE1wVfo6+nz3Lf5SSE\nJhDlFdWnQGrclBoLflVLFQ6mDqybso744PhB2ee7srlSPRAiVz0QQqFS4GHloZ3qM238tFFR2+zN\nWm9qYMq8Cbem1k+ymyT1hN8DSpWSnMqcLnXv7BvZvXacRLhGDNri+mhg7Aj6c8/B82rxFgD+k1tL\nuWPsfaGZ2elg6kBdWx1ylZwZbjNQqBT8WPIjpgamPDr1UWaMn8HB3IN8dPEj9AQ91gSsYde0XUS4\nRPBD8Q8kpiXyQc4HdCg7eMjrIXZG7GTppKVdxDmnMofkjGRSslOoaa3By8aLhNAEHp36KE7mTn3G\nWVRfxL5z+0jJSiG3KhdDmSErfFcQHxxPjHfMgOuPZY1lHMo7RGpOKl8XfI1KVOFt402cfxxx/nGD\nvlfLvdKXtV7TE/7A+Acw0jca4Uh1C03HSeeySWZZJi3yFkDdcRLuEq5tFRzujpORYEx1uQhrgMmo\nBXwM/j/TzOy0M7WjorlCO1y5rKmM74q+w9HMkefnPo+diR17zuzhn2n/xNbEll/O/CXbI7Zja2LL\n/vP7eerTp8gsy8TSyFLbkjjZfrL2PC3yFlJzUknKSOJU0SkM9AxY5beKhNAE5nvO7zPT7c2C/9rS\n13jY/+EBlw6K6ovUAyFyUzlVeAoRkcn2k/n1rF8T5x9HkGPQiL9he7PWO5k7sXTSUq21fixlhsNB\nfzpOtoZs1WbgE+0mjoq7stGITgg6MCbFXLj5C9mZ2FHRUkGropU5HnPIrcrl64KvCXAI4KWYl6hu\nqSYxLZGK5gr8HfxJWprEhqANlDeV8/IPL/PG2Teoaa0hwCGAV5a8wsagjV0WHrNvZJOckcze7L3U\nt9cz0XYiL0S9wObgzX3u66FUKTlx7QQp2Sl8mPshLfIWvGy8+N2c37ExaCPett4D+v2v1V7jYO5B\nDuYe5IfiHwAIHBfIc3OfI84/bsQHQnS21h+9epRvC76lXdmutdZvmbqFGO8YyVp/F/Sn4yTOP25U\nd5yMZnRD0MfQe0Vj0dcX9LE0sqSmrQaZnoxZbrPILMvkZMFJHvJ6iN9O/i2ni0/zH1/+Bx3KDpZM\nXMKuabuY7zmfo1eOsuaDNXyW/xl6gh6r/FaxM2InD3o8qBWWpo4m3j//PsmZyZwuOY2RzIhY/1i2\nhW7rclxPnK84z96svV0s+BsDNxIfHM8MtxkDEq/86nzt5lcZZRmAukTxx/l/JNY/tsctd4eTG003\n+PLqlxy5coRjV49R3lQOQIBDADsidqin1nvMHnWGpNFIY3ujuuOkk3hfq7umfd7XzpcFXgt0ruNk\nNKMbgj58Zf4hQ0/QQyWqMJQZYigzVBteTKzxtvUmvTSdypZK1k1ZR4hTCB9d/Igdn+3A1MCUhNAE\nfhL5E8aZjePNs2+y/bPtXK65jKOZI7958DdsC9vWxfadWZZJckYy+87to7GjET97P16KeYlNQZuw\nM7XrNb4bTTfYf34/KVkpnCk/o7Xgvxzz8oAt+J0HQmTfyAZgmus0Xoh6gVi/2BHtt9ZY6zXdKBpr\nvZ2JHVHeUdqecMla3zftinaybmR1qXvnVuYi3nzzelh5EOEawZPhTxLuEq7THSejmdG/KAoIz93M\nCHUwU9fUx031TVGhok3RxhSHKahEFTlVOVgbW/Po1EexMrIiJSuFa3XXcLdy5yeRP+HxkMcpqC8g\n8cdE9p3bR6uilZluM9kZuZPVfqu1ZpmG9gb2n9tPcmYyGWUZGOsbsyZgDdtCt/WZUbfKW/n40sek\nZKXwxeUvUIpKwpzDiA+OZ+2UtfdcC9aUKg7mHiQ1J5XcqlwEBGa6z9RO9RnsSUJ3E1tv1voZbjNu\nTa13Chk1LZCjjTt1nIwzG9el2yTcJVxaVxggY2pR1EKwoJHGkQ7jrtAKuYEpLfIWWhQthDiFUNlS\nyfnK83hae/KbB39DVUsVr2e+TmNHI7PcZ/FC1AssmriIj/I+Ytn+ZZwqOoWJvgkbAjewI3IHU52m\nAmph+rHkR5Iyknjv/Hs0y5sJHBfI/y36PzYEbuh1kVIziDklK4UPcj4YNAu+poVRM9Xncs1l9AQ9\n5njMYUfEDlb5req21e5w0Ze1fsvULUR7RzNvwjzJWt8DoihyueZyl7p3Tx0nzz7wrFbA3SzdpDWF\nEWLEMvTO573T/3zv33tzVXm1z2NGCxohtzS0pKGjASOZEQEOAVypvaLdojbGO4bM8kw+vfQpMj0Z\na6esZde0XTibO/NaxmskZSRxo/kG3jbebI/YzpapW7QCXddWx77sfSRlJpF9IxtTA1PWTVlHQmgC\nka6RvV7LyzWX2ZultuBfq7uGmYEZsf6xxAfFM3fC3HvKRlWiih9LftRO9SmoL0AmyFjgtYBYv1hW\nTl45IpmZQqXgdPFprYBL1vr+IYoiJY0lXcom6aXp1LXVAbc6TjpvUCV1nAwPo74PXRTFfn+Kh70U\nRmZD5lCGNmA0E4I0Qm5haIGXjRc5lTkoVAqW+S4jwD6AT/I/4VzFOexN7Xky7EmeDH+S/Jp8EtMS\nOZR7CJWoYvHExeyM3Em0dzR6gh6iKPJ98fckZSRx4MIBWhWthDqHkhCawPrA9VgaWfYYU01rDQcu\nHGBv9t5Bs+ArVUq+K/pOWxMvaSzBQM+AaO9oYv1iWe67vM9a/VChsdYfvXKU49eOd7HWa3rCJWt9\nV6pbqruUTdJK07SLwPp6+gSOC+xSNpE6TkaOUV9yuZtbMhuj0WuP1s7sNDClSd6EiYEJLpYu5FXl\ncan6EhsCN2BmaMaBCwc4fPEwU8ZNYc+yPSz3XU5qTiox78RwofICNsY2PDP9GZ6KeEq7BW1Naw17\ns/aSlJlETmUO5obmxAfHkxCaQJhLWI/xdCg71Bb8rBQ+vvQxHcoO/B38+ctDf2F94Pp7suArVAq+\nKfhGOxCivKkcI5kRC30W8mf/P7N00tJhnw7f2Vp/9OpRLtdcBtR270cCHpGs9bfRV8eJgICvvS9R\nXlFaAQ92DJY6TnQQnUhXzEzMRjqEHtFDDyN9I1oVrdia2mIr2lLYUAjAU+FPUd1Szb5z+1CoFCyd\ntJTd03fjbO7MK+mv8OzRZ2loVw+heH3566ydshZTA1NEUeTr61+TnJlMak4q7cp2Il0j2bNsD49M\neaTHrLo3C/5TwagrqwAAIABJREFU4U8RHxxPiFPIXdc05Ur5rYEQF/9FVUsVpgamLJ64mDg/9UCI\n4aw5a6z1mm6U2631T0c+LVnrb9KmaCOrPKuLeOdV5fXYcRLhEkGYS1ivd3kSuoVOCLqp0ejq+dUX\n9BEEAblKjqulKzWtNRTWF+Jv78/28O1k3cjilfRXMDMw48nwJ3kq/CkuVl/kT//+E19e/RIDPQPW\nBKxhZ+ROprlOQxAEKpsreSXtFZIzk7lYfRErIyu2hm4lITSBYKfgHuMoqi/inex3SMlOIa8qDyOZ\nESsmryA+KJ5o7+i7vj1uV7Rz7OoxUnPUAyFq22qxMLRg6aSlxPnHsdBn4bD2X3e21n959UuqW6sB\nCHEK4WcP/Ew7tf5+ttYrVAp1x0mnssm5G+e0HSeOZo5EuEbwSMAj2rq3NCR67KITgm4iGx23foYy\nQxQqBUpRyUTbiRTWF3K55jJzPOYwyW4SR68c5Z/p/2SC9QRejH6R5ZOW80HOByzct5DC+kLGW47n\n9/N+z9bQrTiaO6ISVZy4doLkzGQ+zP1Qu3fLW7Pe4uGAh3sUz8b2RrUFPzuFr659hYjILPdZJC1N\n4uGAh++69NEqb701EOLSxzS0N2BlZMWKySuI84sjyjtq2AZCaKz1miy8s7V+yaQl9721XtNx0rnu\nfab8jLbjxMrIinCXcH76wE+14j3ecvx9f8dyPzFgQRcEQQakAyWiKC4deEjdGel2Ms3gZUTwsvHi\nSs0VrtZeZcnEJZjom/BJ/id8XfA1D3o8yEsxL+Fk7sQr6a/wq+O/okPZwXzP+VqDjr6ePuVN5fz5\n339mT+YertRewcbYhu0R20kITeixbVCpUnL82nH2Zu/VWvC9bbzv2YLf1NHEZ/mfqQdCXPqUZnkz\ndiZ2POz/MHH+ccM2EEIURc5VnNP2hPdkrY/2jiZwXOB9J0qiKFLcUKwV7/Sy9C4dJyb6JoQ4h5AQ\nmqCte/vY+kgdJ/c5g5Gh7wJygSErwo3ULbWJvgmtilYMZAaMMx9HYX0hlc2VrAlYQ1VLFYcvHkZf\nT591get4IuwJLlVf4o///iPppemYG5qTEJrA9ojt+Dv4oxJVHLtyjKTMJA5fPIxCpWCOxxyen/s8\nsf6xPWbB5yvOk5KVwr5z+yhtLMXa2JpNQZuID47ngfEP3JXIaQZCHMw9yOeXP6dN0cY4s3FsCtpE\nnH/csA2EqGiu4NiVYz1a67dHbCfGO+a+tNZXtVR1KZuklaRxo/kGcKvjZI3/Gm3mHTAuQOrYkejG\ngP4iBEEYDywB/gA8OygRjQI0GbmpgSnmhuZUtlRiY2LD2oC1ZN3I4v0L7+Ng6sBvHvwNSyctJTUn\nleX7l1PdWo2fvR+JixPZFLQJCyMLShtL+f03v+f1M69zve469qb27J62m62hW/G19+127tst+Pp6\n+izyWcTfFv6NpZOW3lX5o7a1Vj0QIjeVo1eO0qHswMXChYTQBGL9YpnlPmvI3ZDtina+K/pO2xN+\npvwMcH9b6xvbG8koy+gi4NfrrgPqjpPJ9pOJ8YnRui2DnYJH3RxUidHJQD/iXwZ+AQxpTcRQf3jm\nQWoGS9iY2NDY0Uh1azUhTiHMdp/N1wVf896F9whyDGLP8j04mjmSlJHE//vm/6En6LFi8gp2Ruxk\n7oS5qEQVX1z+gqTMJD699ClKUckCzwX8ecGfWTl5Zbc7jlZ5K4cvHiYlO4Ujl4+gFJWEu4Tz94V/\nZ+2UtXe1iFXVUqUeCJGTyvFrx1GoFLhbubMjYgdx/nFMHz99SG/LNdZ6TR38dmv9H+b/4b6y1rcp\n2jhbfvaW0/K2jpMJ1hOIcIlge/h2IlwjCHUOlTpOJO6ZexZ0QRCWAhWiKGYIgjC3j+O2AdsA3N3d\n7+lcQ1nPFRDQQw8lShzMHLjRfIOypjLmeszFQGbAV9e+4mz5WZb7Lmdr6Fbyq/P5y7//Qn5NPuPM\nxvHr2b/mibAncLNyo7C+kOe/fp7Xz7xOcUMx48zG8fMZP+fx0MfxsfXpcl6VqOJU4SlSslI4kHOA\nhvYGxluO5+czfs6m4E13tXVseVM5h3IPkZqbytfXv0YpKvGy8eLZ6c8S5x9HuEv4kNaga1tr+fLq\nl9qe8MJ6devm/WatV6gUXKi40GXR8lzFORQqBXCr42TtlLXa4QxSx4nEYDKQDH0msFwQhMWAMWAp\nCMI7oihu7HyQKIpJQBKonaL3cqKhyOQ0zk4BAUcLR0obS6lprWG+53yqmqs4WXASC0MLdkTuIMor\nisMXD/NI6iO0yFt4YPwDPDf3OWL9YpHpyfj00qc8+emTfHH5C0RRJNo7WrsIevuH0WBZ8IsbitUD\nIXJS+XfhvxER8bXz5ZezfkmcfxzBjsFDJuIaa70mC7/dWv/rWb8e89Z6lahSd5x0KpucKTtDq6IV\nAGtja8Jdwvn5jJ9rxVvqOJEYagbF+n8zQ//Znbpc7nW3xRe+foFfnPzFPUbXFc1eK4Z6hlgZW1HZ\nUomDqQMhziFcqLhASWMJntae7IjYga2JLW+efZNvC7/FWN+Y9VPWsyNyB6HOoVyrvcbrZ17njTNv\nUNZUhrO5M4+HPM7joY8zwXpCl3NqLPgpWSl8X/w9AgIPeT1EfHA8qyavwsywf8ap63XXOZijHgjx\nffH3AEwZN4U4vzjtQIihEoxrtde0dfD7zVoviiJFDUXqskmnqTr17fWAevE81Dm0yx4n3rbeUseJ\nxKAx6q3/d4OBMPD9IzTzOo31jZEJMho6GrA0siTAIYDTJepsc+6Eufz3vP/met11Xvz+RcqayvCy\n8eKFqBd4LOQxzA3NOXzxML86/iuOXTmGIAgs8lnEtrBtLJ64uIuY9WTBD3AIuGsL/uWay9p9U9JL\n1R+GIU4h/GH+H4j1i+1xYXUwaGxv5Kvrt6bW30/W+srmym4j0Tp3nAQ5BmnLJhGuEfg7+I/JDzIJ\n3WNQ/gpFUTwJnByMn9UT+rJ7D1Mj5GaGZrQp2miWNzPVaSr6evqkl6ZT1FDE+inrmeU+i6NXj/LE\nJ0+gUClY5LOIPZF7WOizkKu1V/mfU//Dm2ffpKK5AjdLN34353c8FvJYl329RVEkvTSdlKwU3rvw\nntaCvz18O/HB8Ux1mtqvDDq3Mlcr4lk3sgCIdI3kfx76H2L9Y7V7vQwmKlGlnlp/syf8u6Lv7gtr\nfUN7AxmlGV3aBQvqCwD1+oqfgx8LfRZqxTvIMUjqOJEYtehEWqGnf/e3rtptbI0sqW2rpamjiXCX\ncCqaKzhbfla9oDnr11gbW7M3ey9vZb2FtbE1T0c+zVMRT+Fm6cahvENE7Y3ixLUTyAQZSyctZVvY\nNmK8Y7rUugdqwdcYbDR7iWsckjPdZvJSzEus9luNu9W9LSj3RXFDsbYnvLO1PtQ5dExa6zUdJ53r\n3herLmo7TjytPZk2fho7I3cS4aLuOBnrC7kSYwudEHQro/6PqtLsfmhlbEVNaw0dyg6muU4jrzqP\n0yWnmeo0lb889BcK6wtJTEukvr2eqU5TSV6WzPrA9RTWF/JK2iu8nfU21a3VTLCewO/n/Z4tIVu6\nDGjoyYI/2302zy59tl8WfFEUySzL1E71ya/JR0/Q40GPB9kevn1IBkK0yFv4tuBbbS38QuUFYGxa\n6xUqBecrzncpm3TuOHEydyLCJYL1U9Zrt4e1N7Uf4aglJAaGToygO1NyhtA9oXc8Tg89zA3Naeho\nwNncGSdzJ7JvZKMSVazwXUGkayRfXf+KY1ePYaBnQJx/HDsidhDiFMKHeR+SlJHEt4Xfoq+nz8rJ\nK0kITeAhr4e0i1saC35KVgof5n5Iq6IVbxtv4oPj2Ri08Y6lEM1ACE0mfr3uOjJBxnzP+dqBEI7m\njnd9fXpDk/lr6uC3W+ujvaPHxNR6lagivzq/2x4nbYo2QN1xouk00ZROXC1cdfp3lri/GPUDLu6G\nssYyXP7ae7ZqqGeInp4ebYo2vG3U3QX5NflYGFqwIXADFkYWHLhwgIL6AlwtXHki7AkSwhKoaqki\nOSOZvdl7qW2rxcfWh4TQBDYHb+4irD1Z8B8JeKRfFnyVqOoyEKK4oRgDPQOivKOI9Ytlhe+KQR0I\nUdFcoZ1af/TK0S7Weo2A67K1XtNx0rlsklGaoe04MTUwvdVxclO8vW28JfGW0GnGVJfL7c45TVnF\nRN+EDmUHHaoO/G39qWqp4krtFbxtvPnpAz+ltLGUN8++SbuynbkT5vK/0f9LlFcUh/IOsfr91Xxf\n/D2GMkNW+60mITSBuRPmarPxniz4iycuJj4oniWTlvS5MKZQKfi24FvtQIiypjKMZEbE+MTwx/l/\nZJnvskEbCKGx1muy8LFmrb+94yStNI2K5goADPQMCHIMYt2Uddp2QT8HP6njRGLYUagUlDaWUlhf\n2OPXct/l/H7+74c8Dp34y1eJKgz11FvXqlBhamBKs7wZpUqJr50vV2qvkFOVw9wJc1nvuJ5TRad4\n8fsXMTMw47GQx9gRsQO5Sk5yRjJbD2+lvr0eXztfXox+kfjgeG3tdCAWfLlSzlfXv1IPhMj7F5Ut\nlZjom6gHQvjHsWTikkFZYBNFkUvVl7QZ+MnrJ2mWN48Ja319W32XPU7SS9O7dZws8lkkdZxIDDt1\nbXW9inVhfSEljSWoRFWX19iZ2OFu5Y6XjRee1sNjstOJkku7oh3Xv7rSKm+lRdGClZEVDmYOXK65\nrO4o8V2h7hG/dJiqlip87XzZGbmT1X6r+Sz/M5IykkgrTcNIZsTDAQ+zLXQbs9xnIQhCrxb8jYEb\n72jBb1e08+XVL0nNTeWjvI+obavF3NBcPRDCTz0Qor+mob6oba3l+LXj2pbCztb6aO9onbTWt8pb\n1R0nndoFL1Zf1D7vZePVpe4tdZxIDBVypbzn7Lrh1uOG9oYurzGUGeJm6Ya7lXuPX26WboPy3tcw\npkouMj0ZRvpGGMgMsMSS8qZyTAxM2By8mRtNN0jNTQVgue9ydkbsxMrIiuTMZH51/Fc0dTQR4BDA\n3xb+jY1BG7E1sQUgvzqfvdlqC/71uuuYGZgR5x9HfHA8czzm9JrdtspbOXLlCAdzD3L44mHtQIjl\nvsuJ848j2jt6wFmjQqXgx5IftQL+Y8mPOm2tlyvlXKi80KVscr7ivLbjxNncmQjXCDYGbdSK+EgM\nmpYYe4ii2HN23UmsSxtLu2XX9qb2uFu542Prw/wJ87sJtqO546h0AutMhu72khuVLZUEOwYT5BjE\n6eLTXKq5hL2pPQmhCWwI3MC3hd+SlJHEmfIzmOib8MiUR9gWuo3p46cjCMI9W/CbO5q1AyE+ufQJ\nzfJmbE1sWem7kjj/OBZ4LRjwBmLXaq9p6+C6bK2/U8eJjbFNl26TCJcIna3vS4w8HcoOShpK+hTs\npo6mLq8xlBl2FWjL27JrK7dR1zQwprpcAP7rxH9xvuI8x64co0XRwjTXaWyP2I6HlYfWmdkibyHY\nMZhtYdtYH7gea2NrOpQdfJ7/OXuz93ax4G8O3sz6wPW9iklDe8OtgRD5n9OqaMXB1IHVfqvVAyE8\n5tz1zM7OdLbWH71ylPyafEBtrY/xjtEJa70oihTWF3YR74yyDO3tqdRxIjEQRFGktq22z9p1aWOp\n1himYZzZuF7F2t3KHQczh1GZXffFmBL0dkU7zi860yJvYV3gOjYFbuJC5QWSM5M5V3EOMwMz1geu\nJyE0gXAX9e+sseDvP7+f6tZqxpmNY/2U9X1a8Gtba/n40sek5qRy5MoROpQdOJs7E+sXS6x/LLPd\nZ9/zQuOdrPWalsLRbK2vaK7oUjZJL03v1nHSOfOWOk4k+qJD2UFxQ3Gfgt0sb+7yGiOZUa91a03t\n2sRgdMwgHkzGlKADnLh6ghZFCx/kfMCBCwdoU7QR7hJOQmgC66asw8LIgsL6QvZl7+tiwV85eSXx\nwfFEeUX1mFFXtVTxUd5HpOam8uXVL1GoFLhZuhHrF0ucfxwPuD1wz5/mJQ0l2j3Cj1051mVqvSYL\nH63W+ts7TtJK07SLsQIC/g7+WuEOdwkn2DF4VP4eEiODKIpUt1b3KdblTeXdsmtHM8c+BdvB1GHU\nJjxDyZgS9A5lB+FJ4ZyrOIeFoQUbgzaSEJpAiHMIje2NHMw9yN7svV0s+PHB8cT5x/XY732j6QaH\n8g6RmpPKyesntQMhNCIe4RJxT380fVnrNRn4aLTW97fjRJN9hzqHYm5oPoIRS4w07Yr2nrPrTrXr\nFnlLl9cY6xtrhdnDyqObWI+3HC+1ofbCmBJ0gF9++Ut87XxZE7AGY33jbhZ8H1sfNgVt6tWCX9JQ\noh4IkZvKtwXfIiIyyW6Sdi/x/u6E2Jn+WOtH29R6uVKu3uOkU937fMV5lKISuNVxohFwqePk/kMU\nRapaqvoUa40DuTNO5k591q7tTe1HzftA1xhzgg5w7sY59mbv5Z3sdyhrKsPa2Jq1AWuJD47XdrJ0\npqCugIO56oEQ3xV9B6gt8HH+ahEPcAi46z8wXbLWq0QVl6ovdSmbnC0/K3Wc3Oe0Kdooqi/qU7A1\nfyMaTPRN8LD20Iq1m5Vblyx7vOV4qeQ2hIypPvQOZQczXp9BRllGFwv+0klLu/0RXa65rJ3qk1aa\nBsBUp6n8ft7vifWPZbL95Ls+96nCU6PeWt+fjpMw5zDtMOJwl3Cp42QMIooilS2V3cS6oL5A+1iz\nkK1BQMDZwhl3K3emOk1l+aTl3bJrWxNb6W9FB9AJQTeUGTLbfTaPTn2URwIe6WbBz6vK025+dbb8\nLAARLhH85aG/EOsXi7etd7/PpSvW+ts7TtJK0qhsqQTUHSfBTsFsCNygzb797P10bisAie60ylsp\naughu+701a5s7/IaMwMzrTCHOIV0E2tXC1cpux4j6FTJRYMoipyvOK/dS1yz+DjDbQZxfnGs9luN\nh7VHv3+exlqvycI13Rw+tj7abpSRtNbXt9Wr51l2Eu+ihiIA9AQ9/Oz9utS9gxyDpDeoDqISVVQ0\nV/Qp1poPbQ0CAi4WLn12htgY20jZtY4zpkouoBbxM+VntHuJX6q+hIDAgx4P8veFf2e13+p+lz16\ns9ZbGlmywFNtrY/yjhqSUW93olXeypnyM12y70vVl7TPe9t4M9N9JuHO4VLHiY7R3NHcZ3Zd1FBE\nh7Kjy2vMDc21tepwl/Aes+uBGNwkxhY6kaHLlXICXwnkYvVFZIKMeZ7ztAMhnMyd+vUz7mStj/aO\nZtr4acNqhLlTx4mLhUuXdsFwl3DtXjQSowuVqOJG041eFxoL6gq0PgQNeoJel+y6p1Y+KyMrKbuW\nGPoMXRAENyAFcAJUQJIoin+715/XFwYyAx72f5gJ1hNYMXlFv0aFNbY3cvL6SW0tXGOtd7N0Y43/\nGmJ8YpjvOX/YBFIlqrhYdVEr3ull6d06TiJcI1g6aalWwAd7BJ3EvdPU0dS9M6RTV0hRfRFylbzL\naywMLbSdIZEukd3E2sXCRcquJQaVe87QBUFwBpxFUcwUBMECyABWiqKY09trBquG3hMaa70mCx9J\na70oihTUF3SbqtPY0QioF6m0e5zcrH172XhJmdgIoVQpKW8q77ONr6a1pstrZIIMV0vXPvuurYz7\nPwtXQqIvhjxDF0WxDCi7+bhREIRcwBXoVdAHm76s9cM5tf5G041uU3WqWqoAdYdOsGMwm4I2qXu+\npY6TYaexvZGihiIK6gp6FOvihmLtVr4arI2ttcI8Y/yMbmLtbOEs7VMjMeoYlL9IQRAmACHA6R6e\n2wZsA3B3dx/QeVrlrXxT8I02Cx+JqfV1bXWkl6bf6jq5rePE38GfZZOWabPvwHGBUsfJEKJUKSlr\nKuuzM6S2rbbLa2SCjPGW43G3cmem20ztpk5a44yVe7exhxISusCAF0UFQTAHvgb+IIrih30de68l\nF6VKyZJ3l3Dy+kmttX62x2xtS+FQWetb5C2cKTvTpV1QU4sHdcdJ53bBEOcQqeNkkGlob+hTrIsb\nirWLyBpsjG36bONzNneW7pAkdIphaVsUBMEAOAjsu5OYDwSZngx7U3u2R2wfMmu9XCnnXMW5LmWT\nCxUXtGLhauFKuEs4m4M3Sx0ng8SdBusW1hdS317f5TX6evqMtxyPh5UHD3o82OP2qdKoOon7lYEs\nigrA20CNKIq7+/OaoVwUvRtu7zjR7HGicdjZmth2axeUOk7unvq2+h4XGjW17J4G69qa2Pa50Ohk\n7iRl1xL3HcORoc8ENgHnBEE4e/Pffi2K4mcD+JmDjiiKXK+7rh3I0FPHSZhLGDsjd2oF3NPaU+o4\nuQP3MljXQM8ANyv1YN15nvN6HP0llawkJO6dgXS5/BsYdapX3lTebapOTx0nmtr3ZPvJUsZ3G/c6\nWNfOxA53K3e8bbyZN2FeF7H2sPIYtYN1JSTGCjrdd6XpOOks4MUNxYC64yTAIYDlk5ZrxTvQMXDA\nw5zHAvc6WNfNUp1dL/Bc0GPturch2xISEsODzgj6nTpOfGx9mO0+W1s2CXEKuS8F5l4H69qb2uNh\n5YGvnS9RXlHdBHuc2Tgpu5aQGOXohKCLoojrX12pa6sD1B0nEa4RPDr1Ue1UHRsTmxGOcni4l8G6\nhjJDrTBHeUf1WLseDQM5JCQkBoZOCLogCLwQ9QLjzMYR4RKBs4XzSIc0JNzrYN1xZuNwt3LHz8GP\nGO8YrUhrNntyMHOQsmsJifsAnRB0gK2hW0c6hAFzL4N1jWRG2kx6oc/Cbrvyjbccj4mByQj9RhIS\nEqMJnRH00c69DtZ1NHPE3cqdAIcAFvks6la7djB1kFooJSQk+oUk6P2kTdGmza572+Spp8G6GmFe\nMnFJN7EebzkeY33jEfqNJCQkxhqSoNP7YN3OXzeab3R7nZO5E+5W7gQ5BrF04lJ1OaTTBk92JnZS\ndi0hITFs3BeCfi+DdU0NTLXCHOwY3GN2Le2iKCEhMZrQeUFXiSoqm9XZdUF9QY9i3dNgXWcLZ/UU\ndOcQVviu6CbYtia2UnYtISGhU+iMoH959ctbtevbRn/dnl2bGZhphTnUObTbzEZXS1fJMSohITHm\n0BlB33RoE+VN5QgI2sG6Yc5hrJq8qlt2bWNsI2XXEhIS9x06I+ifrv8UWxNbXC1cpcG6EhISEj2g\nM4Ie6hw60iFISEhIjGokP7iEhITEGEESdAkJCYkxgiToEhISEmMESdAlJCQkxgiSoEtISEiMEQYk\n6IIgLBQE4aIgCJcFQfjlYAUlISEhIXH33LOgC4IgAxKBRYA/sE4QBP/BCkxCQkJC4u4YSIYeCVwW\nRfGqKIodwHvAisEJS0JCQkLibhmIscgVKOr0fTEwbWDh9M7uL3ZztvzsUP14CQkJiSFjqtNUXl74\n8pCfZyAZek+bpYjdDhKEbYIgpAuCkF5ZWdnDSyQkJCQkBoOBZOjFgFun78cDpbcfJIpiEpAEEB4e\n3k3w+8twfLpJSEhI6DIDydDTgImCIHgKgmAIrAUOD05YEhISEhJ3yz1n6KIoKgRB2AkcAWTAG6Io\nXhi0yCQkJCQk7ooB7bYoiuJnwGeDFIuEhISExACQnKISEhISYwRJ0CUkJCTGCJKgS0hISIwRJEGX\nkJCQGCNIgi4hISExRhBE8Z69Pnd/MkGoBAoG8CPsgapBCmcwkeLqP6MxJpDiulukuO6OgcblIYqi\nw50OGlZBHyiCIKSLohg+0nHcjhRX/xmNMYEU190ixXV3DFdcUslFQkJCYowgCbqEhITEGEHXBD1p\npAPoBSmu/jMaYwIprrtFiuvuGJa4dKqGLiEhISHRO7qWoUtISEhI9MKoE3RBEN4QBKFCEITzvTwv\nCILw95uDqbMFQQgdJXHNFQShXhCEsze/fjsMMbkJgvCVIAi5giBcEARhVw/HDPv16mdcI3G9jAVB\n+FEQhKybcT3fwzFGgiC8f/N6nRYEYcIoietRQRAqO12vrUMdV6dzywRBOCMIwic9PDfs16sfMY3k\ntbouCMK5m+dN7+H5oX0/iqI4qr6AB4FQ4Hwvzy8GPkc9MWk6cHqUxDUX+GSYr5UzEHrzsQVwCfAf\n6evVz7hG4noJgPnNxwbAaWD6bcdsB169+Xgt8P4oietR4B/Deb06nftZ4N2e/n+NxPXqR0wjea2u\nA/Z9PD+k78dRl6GLovgNUNPHISuAFFHND4C1IAjOoyCuYUcUxTJRFDNvPm4EclHPeu3MsF+vfsY1\n7Ny8Bk03vzW4+XX7ItIK4O2bj1OBBYIg9DRucbjjGhEEQRgPLAH29HLIsF+vfsQ0mhnS9+OoE/R+\n0NNw6hEXi5s8cPO2+XNBEAKG88Q3b3VDUGd3nRnR69VHXDAC1+vmrfpZoAI4Jopir9dLFEUFUA/Y\njYK4AGJv3qanCoLg1sPzQ8HLwC8AVS/Pj8T1ulNMMDLXCtQfxEcFQcgQBGFbD88P6ftRFwW9X8Op\nR4BM1PbcYOD/gH8N14kFQTAHDgK7RVFsuP3pHl4yLNfrDnGNyPUSRVEpiuJU1DNwIwVBmHLbISNy\nvfoR18fABFEUg4AvuZUVDxmCICwFKkRRzOjrsB7+bciuVz9jGvZr1YmZoiiGAouAHYIgPHjb80N6\nvXRR0Ps1nHq4EUWxQXPbLKonORkIgmA/1OcVBMEAtWjuE0Xxwx4OGZHrdae4Rup6dTp/HXASWHjb\nU9rrJQiCPmDFMJbaeotLFMVqURTbb36bDIQNQzgzgeWCIFwH3gPmC4Lwzm3HDPf1umNMI3StNOcu\nvfnfCuAQEHnbIUP6ftRFQT8MxN9cLZ4O1IuiWDbSQQmC4KSpHQqCEIn62lYP8TkF4HUgVxTFv/Zy\n2LBfr/7ENULXy0EQBOubj02Ah4C82w47DGy++TgOOCHeXM0aybhuq7MuR70uMaSIovgrURTHi6I4\nAfWC5wlRFDfedtiwXq/+xDQS1+rmec0EQbDQPAaigdu74ob0/TigmaJDgSAI+1F3QNgLglAM/A71\nIhGiKL5iSYnoAAAA1klEQVSKeobpYuAy0AJsGSVxxQFPCYKgAFqBtUMtBKizlU3AuZv1V4BfA+6d\n4hqJ69WfuEbiejkDbwuCIEP9AXJAFMVPBEH4byBdFMXDqD+I9gqCcBl1prl2iGPqb1xPC4KwHFDc\njOvRYYirR0bB9bpTTCN1rRyBQzfzFH3gXVEUvxAE4UkYnvej5BSVkJCQGCPoYslFQkJCQqIHJEGX\nkJCQGCNIgi4hISExRpAEXUJCQmKMIAm6hISExBhBEnQJCQmJMYIk6BISEhJjBEnQJSQkJMYI/x9J\nrJK30pbw7QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d458e1b080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gradient_descent(x,y)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
